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Finding the Fourth Proportional to 363.65, 501.31 and 319.58

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Solution

The fourth proportional to 363.65, 501.31 and 319.58 is: 440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.65 : 501.31 = 319.58 : x
  2. Step 2: Convert to fraction form
    363.65/501.31 = 319.58/x
  3. Step 3: Cross multiply
    363.65x = 501.31 × 319.58
  4. Step 4: Simplify right side
    363.65x = 160,205.34
  5. Step 5: Solve for x
    x = 160,205.34/363.65
  6. Step 6: Final answer
    x = 440.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.